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Finding the Third Proportional to 344,203 and 741,138

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Solution

The third proportional to 344,203 and 741,138 is: 1,595,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,203 : 741,138 = 741,138 : x
  2. Step 2: Convert to fraction form
    344,203/741,138 = 741,138/x
  3. Step 3: Cross multiply
    344,203x = 741,138 × 741,138
  4. Step 4: Simplify right side
    344,203x = 549,285,535,044
  5. Step 5: Solve for x
    x = 549,285,535,044/344,203
  6. Step 6: Final answer
    x = 1,595,818.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.